In the paper Proof of the Deligne-Langlands conjecture for Hecke algebras, Kazhdan and Lusztig give a classification of simlpe simple modules of the affine Hecke algebra associated to a connected reductive linear group with simly simply connected derived subgroup (requiring that the parameter $q$ is not a root of unit)unity).
I wonder that do whether we have a classification of simple modules for affine Hecke algebras associted associated to general reductive linear groups without the restriction of simply connectedness.
